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Finding the Third Proportional to 160,507 and 341,749

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Solution

The third proportional to 160,507 and 341,749 is: 727,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,507 : 341,749 = 341,749 : x
  2. Step 2: Convert to fraction form
    160,507/341,749 = 341,749/x
  3. Step 3: Cross multiply
    160,507x = 341,749 × 341,749
  4. Step 4: Simplify right side
    160,507x = 116,792,379,001
  5. Step 5: Solve for x
    x = 116,792,379,001/160,507
  6. Step 6: Final answer
    x = 727,646.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.